We're dividing 738553 by 6 
We want to figure out the number of times 738553 can be divided by 6.

Let's proceed to step 1:
When dividing 7 by 6, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 6 from 7 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 6

Step 2:
The number 6 fits into 13 2 times, leaving a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 12 from 13 and we're left with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 6

Let's proceed to step 3:
18 divided by 6 is 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 123.0
The remainder is 0 after subtracting 18 from 18.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 6

Going ahead to step 4:
If we divide 5 by 6, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 1230.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 6

On to step 5:
The number 6 fits into 55 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 12309.0
Subtracting 54 from 55 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 6

Step 6:
13 divided by 6 is 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 123092.0
Subtracting 12 from 13 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
When dividing 10 by 6, we get 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 123092.1
If we take 6 away from 10, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 123092.16
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 123092.166
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 123092.166, and the remainder is 0.0004.